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Ber [7]
4 years ago
7

linear function in the form of y=mx+b for the line passing through 4.5, -4.25 with y-intercept of 2.5

Mathematics
1 answer:
Norma-Jean [14]4 years ago
4 0

Answer:

Plug in 2.5 for y to figure out b

And then plug in 4.5 for x to figure out m

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Genrish500 [490]

Answer:

10 units

Step-by-step explanation:

based on the 60-30 special triangle, you can find the lengths of all the sides with only one side length. The hypotenuse is double the length of the short leg and the longer leg is found by multiplying the shorter leg by √3.

4 0
3 years ago
The equation below describes a proportional relationship between x and y. What is the constant of? proportionality? y equals thr
lilavasa [31]

Answer:

The given equation is

          y =\frac{3}{7} x

→ \frac{y}{x} = \frac{3}{7}

reciprocating both sides, we get

→ \frac{x}{y}  =  \frac{7}{3} ............(1)  

→ Here x and y are Directly proportional to each other.

which means ,

→ x =  k y , where k is constant of proportionality.

Or , \frac{x}{y} = k  ............................(2)

Equating (1) and (2),

k = \frac {7}{3}  




5 0
3 years ago
Please this is due tonight!!! Express given logarithm in terms of a, b and c.
KATRIN_1 [288]

\textit{Logarithm Change of Base Rule} \\\\ \log_a b\implies \cfrac{\log_c b}{\log_c a}\qquad \qquad c= \begin{array}{llll} \textit{common base for }\\ \textit{numerator and}\\ denominator \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_5(18)\implies \cfrac{\log(18)}{\log(5)}\implies \cfrac{\log(2\cdot 3\cdot 3)}{\log(5)}\implies \cfrac{\log(2)+\log(3)+\log(3)}{\log(5)}

\begin{cases} \log(3)=a\\ \log(2)=b\\ \log(5)=c \end{cases}\implies \cfrac{b+a+a}{c}\implies \cfrac{b+2a}{c} \\\\[-0.35em] ~\dotfill\\\\ \log_5^2(18)\implies [\log_5(18)]^2\implies \left( \cfrac{b+2a}{c} \right)^2\implies \cfrac{(b+2a)^2}{c^2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{b^2+4ab+4a^2}{c^2}~\hfill

8 0
3 years ago
A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle? (x − 5)2 + (y +
Nady [450]

Answer:

(x-5)^2 + (y+9)^2 = 144

Step-by-step explanation:

The equation of a circle can be written as

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

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7 0
3 years ago
What are the answers to these questions <br> Please help
svetlana [45]
Toby ...

Look at the drawing I made. 
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You can count the blocks.

Also ... stay inside tonight.
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4 years ago
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